What is the 3395th prime number?
The 3395th prime number is 31543. The next prime is 31547 (a gap of 4) and the one before is 31541.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 3395th one is 31543.
- 2
31543 is prime because no prime up to ā31543 ā 177.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3395th prime is close to 3395 Ć ln(3395) ā 27602, and here it is 31543.
- 4
31543 is a twin prime: 31541 and 31543 are both prime.
Primes around the 3395th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3392 | 31517 | 4 |
| 3393 | 31531 | 14 |
| 3394 | 31541 | 10 |
| 3395 | 31543 | 2 |
| 3396 | 31547 | 4 |
| 3397 | 31567 | 20 |
| 3398 | 31573 | 6 |
Questions
What is the 3395th prime number?
31543.
Which prime number is 31543?
31543 is the 3395th prime number.
What is the sum of the first 3395 primes?
50,292,500.